Finding the Third Proportional to 40.42 and 56.24

Step by Step Solution

1. Step 1: Write the proportion equation
   40.42 : 56.24 = 56.24 : x
2. Step 2: Convert to fraction form
   40.42/56.24 = 56.24/x
3. Step 3: Cross multiply
   40.42x = 56.24 × 56.24
4. Step 4: Simplify right side
   40.42x = 3,162.99
5. Step 5: Solve for x
   x = 3,162.99/40.42
6. Step 6: Final answer
   x = 78.25